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Burka [1]
3 years ago
12

Chloe wants to cut a 37 in. piece of ribbon into three pieces. The second piece is to be 2 in. longer than the first, and the th

ird piece is to be 3 in. longer than the second. How long will each of the pieces be?
Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

1st piece = x

2nd piece = x+2

3rd piece = x+2+3 = x+5

37 = x +x+2 + x+5 =

37 = 3x+7

30=3x

x = 30/3 = 10

 1st piece = 10 inches

 2nd piece = 10+2 = 12 inches

 3rd piece = 10+5 = 15 inches

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Use the coordinates of the labeled point to find the point-slope equation of the line.
LenKa [72]

For this case we have that by definition, the equation of a line of the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}): It is a point through which the line passes

To find the slope, we need two points through which the line passes, observing the image we have:

(x_ {1}, y_ {1}): (3, -5)\\(x_ {2}, y_ {2}): (0,4)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {4 - (- 5)} {0-3} = \frac {4 + 5} {-3} = \frac {9} {- 3} = - 3

Thus, the equation is of the form:

y-y_ {0} = - 3 (x-x_ {0})

We choose a point:

(x_{0}, y_ {0}) :( 3, -5)

Finally, the equation is:

y - (- 5) = - 3 (x-3)\\y + 5 = -3 (x-3)

Answer:

y + 5 = -3 (x-3)

Option D

6 0
4 years ago
Read 2 more answers
iDentify the equation of the circle that has its center at (-27, 120) and passes through the origin A. (x−27)2+(y+120)2=123 B. (
melomori [17]
The equation of a circle is given in the form (x-a)^2+(y-b)^2=r^2, where

(a, b) is the centre of the circle
r = radius

We have the centre of the circle (-27, 120)
We can work out the radius by modelling the radius as the hypotenuse of a triangle as shown in the diagram below

r^2=27^2+120^2
r^2 = 15129

The equation of the circle is

[x-(-27)]^2+[y-120]^2=15129
[x+27]^2+[y-120]^2=15129

Correct answer: option number 4

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3 years ago
What is 36 divided by 540 using partial quosient
iogann1982 [59]

excuse the writing io used my mouse
so the aim is to find a simple factor thst when u multiply the divisoor by it si lower thatn the dividend
in this case i used 10 so 10*36=360
then u subtract 360 ( 540-360=180)from the dividend and record the ten which i did on right side of the attachment
then u find another factor that can now multiply 36 but be less that 180 i chose 5
5*36=180
180-180= 0
finally u jus add the factors that used which are the 10 and 5= 15
therefore 540/36 =15

6 0
3 years ago
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Alexeev081 [22]

Answer:

b,c,f

Step-by-step explanation:

a is -8

b 8

c 8

d -8

e 1-

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2 years ago
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Answer:

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